# std::literals::complex_literals::operator""i, operator""if, operator""il

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< cpp‎ | numeric‎ | complex

Defined in header `<complex>` |  |
constexpr complex<double> operator""i( long double arg ); constexpr complex<double> operator""i( unsigned long long arg ); | (1) | (since C++14)
constexpr complex<float> operator""if( long double arg ); constexpr complex<float> operator""if( unsigned long long arg ); | (2) | (since C++14)
constexpr complex<long double> operator""il( long double arg ); constexpr complex<long double> operator""il( unsigned long long arg ); | (3) | (since C++14)

Forms a std::complex literal representing an imaginary number.

1) Forms a literal std::complex<double> with the real part zero and imaginary part arg.
2) Forms a literal std::complex<float> with the real part zero and imaginary part arg.
3) Forms a literal std::complex<long double> with the real part zero and imaginary part arg.

### Parameters

arg | - | the value of the imaginary number

### Return value

The std::complex literal with the real part zero and imaginary part arg.

### Notes

These operators are declared in the namespace std::literals::complex_literals, where both `literals` and `complex_literals` are inline namespaces. Access to these operators can be gained with either:

- using namespace std::literals,
- using namespace std::complex_literals, or
- using namespace std::literals::complex_literals.

Even though if is a keyword in C++, it is a ud-suffix of the literal operator of the form operator ""if and in the literal expressions such as 1if or 1.0if because it is not separated by whitespace and is not a standalone token.

Feature-test macro | Value | Std | Feature
--- | --- | --- | ---
`__cpp_lib_complex_udls` | `201309L` | (C++14) | User-Defined Literals for std::complex

### Possible implementation

operator""i
    constexpr std::complex<double> operator""i(unsigned long long d)
    {
        return std::complex<double> {0.0, static_cast<double>(d)};
    }

    constexpr std::complex<double> operator""i(long double d)
    {
        return std::complex<double> {0.0, static_cast<double>(d)};
    }
operator""if
    constexpr std::complex<float> operator""if(unsigned long long d)
    {
        return std::complex<float> {0.0f, static_cast<float>(d)};
    }

    constexpr std::complex<float> operator""if(long double d)
    {
        return std::complex<float> {0.0f, static_cast<float>(d)};
    }
operator""il
    constexpr std::complex<long double> operator""il(unsigned long long d)
    {
        return std::complex<long double> {0.0L, static_cast<long double>(d)};
    }

    constexpr std::complex<long double> operator""il(long double d)
    {
        return std::complex<long double> {0.0L, d};
    }

### Example

Run this code

    #include <complex>
    #include <iostream>

    int main()
    {
        using namespace std::complex_literals;

        std::complex<double> c = 1.0 + 1i;
        std::cout << "abs" << c << " = " << std::abs(c) << '\n';

        std::complex<float> z = 3.0f + 4.0if;
        std::cout << "abs" << z << " = " << std::abs(z) << '\n';
    }

Output:

    abs(1,1) = 1.41421
    abs(3,4) = 5

### See also

(constructor) | constructs a complex number (public member function)
operator= | assigns the contents (public member function)
C documentation for I

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